{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0ff2635b-1c95-411f-8ff0-094b354de575",
   "metadata": {},
   "source": [
    "Chapter 05\n",
    "\n",
    "# 岭回归\n",
    "Book_7《机器学习》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ecbe41ed-488e-4b62-ab94-83d8a3c83d1c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.linear_model import Ridge\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import yfinance as yf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3b6b3260-f09c-40b2-a036-c9d7f3b7a5ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "p = plt.rcParams\n",
    "p[\"font.sans-serif\"] = [\"Roboto\"]\n",
    "p[\"font.weight\"] = \"light\"\n",
    "p[\"ytick.minor.visible\"] = True\n",
    "p[\"xtick.minor.visible\"] = True\n",
    "p[\"axes.grid\"] = True\n",
    "p[\"grid.color\"] = \"0.5\"\n",
    "p[\"grid.linewidth\"] = 0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3f7f5aad-317b-463c-9e58-a13bdc5bae00",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ed76e489-e6c1-436a-bc0c-92585add5f84",
   "metadata": {},
   "outputs": [],
   "source": [
    "# initializations\n",
    "import pandas as pd\n",
    "import pandas_datareader as web\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import yfinance as yf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1b25fa35-2c90-47a1-9b01-9122c063fdc1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%%**********************]  13 of 13 completed\n"
     ]
    }
   ],
   "source": [
    "tickers = ['^GSPC','TSLA','WMT','MCD','USB',\n",
    "           'YUM','NFLX','JPM','PFE',\n",
    "           'F','GM','COST','JNJ'];\n",
    "\n",
    "stock_levels_df = yf.download(tickers, start='2020-07-01', end='2020-12-31')\n",
    "stock_levels_df.to_csv('stock_levels_df.cvs')\n",
    "stock_levels_df.to_pickle('stock_levels_df.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a74060b8-1a2e-4950-8009-fe58310a4081",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_X_df = stock_levels_df['Adj Close'].pct_change()\n",
    "y_X_df.dropna(inplace = True)\n",
    "\n",
    "y_X_df.rename(columns={\"^GSPC\": \"SP500\"},inplace = True)\n",
    "X_df = y_X_df[tickers[1:]]\n",
    "y_df = y_X_df[['SP500']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "dd4cb2c9-87f9-436d-82dd-c33dc4de014c",
   "metadata": {},
   "outputs": [],
   "source": [
    "labels = ['SP500','TSLA','WMT','MCD','USB',\n",
    "           'YUM','NFLX','JPM','PFE',\n",
    "           'F','GM','COST','JNJ'];"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b076f44a-fbd2-4619-995d-45f63fdb721c",
   "metadata": {},
   "source": [
    "## OLS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3b7d9d59-c8a7-4b75-b736-714c587ab27a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                  SP500   R-squared:                       0.774\n",
      "Model:                            OLS   Adj. R-squared:                  0.750\n",
      "Method:                 Least Squares   F-statistic:                     32.24\n",
      "Date:                Tue, 21 Nov 2023   Prob (F-statistic):           5.73e-31\n",
      "Time:                        19:15:36   Log-Likelihood:                 489.68\n",
      "No. Observations:                 126   AIC:                            -953.4\n",
      "Df Residuals:                     113   BIC:                            -916.5\n",
      "Df Model:                          12                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -0.0005      0.000     -0.974      0.332      -0.001       0.000\n",
      "TSLA           0.0242      0.011      2.186      0.031       0.002       0.046\n",
      "WMT            0.0268      0.041      0.654      0.514      -0.054       0.108\n",
      "MCD            0.1495      0.058      2.591      0.011       0.035       0.264\n",
      "USB            0.0160      0.051      0.314      0.754      -0.085       0.117\n",
      "YUM            0.1425      0.048      2.974      0.004       0.048       0.237\n",
      "NFLX           0.0986      0.022      4.562      0.000       0.056       0.141\n",
      "JPM            0.1445      0.055      2.618      0.010       0.035       0.254\n",
      "PFE            0.0550      0.033      1.671      0.098      -0.010       0.120\n",
      "F             -0.0084      0.036     -0.230      0.818      -0.080       0.064\n",
      "GM            -0.0110      0.027     -0.403      0.688      -0.065       0.043\n",
      "COST           0.2173      0.059      3.697      0.000       0.101       0.334\n",
      "JNJ            0.2435      0.056      4.366      0.000       0.133       0.354\n",
      "==============================================================================\n",
      "Omnibus:                        7.496   Durbin-Watson:                   1.866\n",
      "Prob(Omnibus):                  0.024   Jarque-Bera (JB):                8.449\n",
      "Skew:                           0.393   Prob(JB):                       0.0146\n",
      "Kurtosis:                       3.997   Cond. No.                         156.\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "\n",
    "# add a column of ones\n",
    "X_df = sm.add_constant(X_df)\n",
    "\n",
    "model = sm.OLS(y_df, X_df)\n",
    "results = model.fit()\n",
    "print(results.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "804abbaf-ba33-4df2-bef6-7f95e7b932ab",
   "metadata": {},
   "outputs": [],
   "source": [
    "b = model.fit().params\n",
    "b = b.values"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "439cf42f-528f-46c5-b2f6-592405640f65",
   "metadata": {},
   "source": [
    "## Ridge regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "279b042e-63c3-4c24-90a0-9b84ee50d08c",
   "metadata": {},
   "outputs": [],
   "source": [
    "clf = Ridge()\n",
    "coefs = []\n",
    "errors = []\n",
    "coeff_df = pd.DataFrame()\n",
    "\n",
    "alphas = np.logspace(-4, 2, 200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "08260ddd-2487-467c-8df5-5c8f8dc2dec8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Train the model with different regularisation strengths\n",
    "for alpha_i in alphas:\n",
    "    clf.set_params(alpha=alpha_i)\n",
    "    clf.fit(X_df, y_df)\n",
    "    coefs.append(clf.coef_)\n",
    "    errors.append(mean_squared_error(clf.coef_, \n",
    "                                     b.reshape(1,-1)))\n",
    "    \n",
    "    b_i = clf.coef_\n",
    "    b_X_df = pd.DataFrame(data=b_i[:,1:].T, \n",
    "                          index = tickers[1:], \n",
    "                          columns=[alpha_i])\n",
    "    \n",
    "    coeff_df = pd.concat([coeff_df, b_X_df], axis = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d4f0cd17-2a38-4782-bb8e-fe51b5ca0d9c",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (8,5))\n",
    "h = sns.lineplot(data=coeff_df.T,markers=False, dashes=False,palette = \"husl\")\n",
    "plt.axhline(y=0, color='k', linestyle='--')\n",
    "h.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "plt.tight_layout()\n",
    "ax.set_xscale('log')\n",
    "plt.grid(b=True, which='minor', color='0.8')\n",
    "# ax.grid(which='minor', axis='x', linestyle='--')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "7606421d-eab2-46eb-b833-2a583a4332df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize = (8,5))\n",
    "\n",
    "ax.plot(alphas, errors)\n",
    "plt.fill_between(alphas,errors, color = '#DEEAF6')\n",
    "ax.set_xscale('log')\n",
    "plt.xlabel('$\\u03B1$')\n",
    "plt.ylabel('Coefficient error')\n",
    "plt.axis('tight')\n",
    "plt.ylim(0,0.015)\n",
    "plt.grid(b=True, which='minor', color='0.8')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
